Linear problem of tracking a given motion under an integral constraint on control

被引：0
作者：
Nikol'skii, M. S. [1 ]
机构：
[1] Russian Acad Sci, VA Steklov Math Inst, Moscow 119991, Russia
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2010年 / 271卷 / 01期
基金：
俄罗斯基础研究基金会;
关键词：
STEKLOV Institute; Linear Problem; Admissible Control; Optimal Control Theory; Generalize Projection;
D O I：
10.1134/S0081543810040139
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the problem of optimally tracking a given vector function by means of a generalized projection of the trajectory of a linear controlled object with an integral constraint on the control. The deviation from a given motion is measured in the metric of the space C (m) [0, T] of continuous vector functions of appropriate dimension m. We describe a constructive method for solving this optimization problem with a given accuracy.
引用
收藏
页码：171 / 176
页数：6
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